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Applications of saddle-point determinants

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Hauke J., Johnson C., Ostrowski T.

Discussiones Mathematicae - General Algebra and Applications

2015

tom 35

nr 2

213-220

For a given square matrix $A ∈ M_n({ℝ})$ and the vector $e ∈ (ℝ)^{n}$ of ones denote by (A,e) the matrix ⎡ A e ⎤ ⎣ $e^{T}$ 0 ⎦ This is often called the saddle point matrix and it plays a significant role in several branches of mathematics. Here we show some applications of it in: game theory and analysis. An application of specific saddle point matrices that are hollow, symmetric, and nonnegative is likewise shown in geometry as a generalization of Heron's formula to give the volume of a general simplex, as well as a conditions for its existence.

Ograniczanie wyników

1 Discussiones Mathematicae - General Algebra and Applications

1 Hauke J.

1 Johnson C.

1 Ostrowski T.

1 2015

Wyniki wyszukiwania

Applications of saddle-point determinants